______________________________RATIO PROPORTION VARIATION________________________________
1. Arun and Badri together have Rs. 1210. If 4/15 A. 80 liters B. 90 liters
of Arun's amount is equal to 2/5 of Badri's C. 120 liters D. 170 liters
amount, how much does Badri have?
A. Rs. 460 B. Rs. 484 C. Rs. 550 D. Rs. 664 11. Rs.432 is divided amongst three workers A, B
and C such that 8 times A’s share is equal to 12
2. Two numbers are respectively 20% and 50% times B’s share which is equal to 6 times C’s
more than a third number. The ratio of the two share. How much did A get?
numbers is: A. Rs.192 B. Rs.133 C. Rs.144 D. Rs.128
A. 2 : 5 B. 3 : 5 C. 4 : 5 D. 6 : 7
12. If 20 men or 24 women or 40 boys can do a task
3. A sum of money is to be distributed among in 12 days working for 8 hours a day, how many
Arun, Varun, Karan and Arjun in the proportion men working with 6 women and 2 boys take to
of 5 : 2 : 4 : 3. If Karan gets Rs. 1000 more than do a task four times as big working for 5 hours a
Arjun, what is Varun's share? day for 12 days?
A. Rs. 500 B. Rs. 1500 C. Rs. 2000 D. None A. 8 men B. 2 men C. 122 men D. 24 men
4. Seats for Physics, Chemistry and Biology in a 13. Two cogged wheels of which one has 54 cogs
school are in the ratio 5 : 7 : 8. There is a and other 32 cogs, work into each other. If the
proposal to increase these seats by 40%, 50% former turns 80 times in three quarters of a
and 75% respectively. What will be the ratio of minute, how often does the other turn in 8
increased seats? seconds?
A. 2 : 3 : 4 B. 6 : 7 : 8 A. 48 B. 135 C. 24 D. None
C. 6 : 8 : 9 D. None
14. The mean proportional between two numbers is
5. In a mixture of 60 liters, the ratio of milk and 9 and the third proportional of the two numbers
water is 2 : 1. If this ratio is to be 1 : 2, then the is 243. What is the larger of the two numbers?
quantity of water to be further added is: A. 27 B. 81 C. 9 D. None
A. 20 liters B. 30 liters
C. 40 liters D. 60 liters 15. The distance (in m) to which a boy can throw a
stone is inversely proportional to its weight (in
6. Salaries of Badri and Vinayak are in the ratio 2 : kg). He breaks the stone into 3 pieces whose
3. If the salary of each is increased by Rs. 4000, weights (in kg) are in the ratio 2: 4: 3. He then
the new ratio becomes 40: 57. What is Vinayak’s throws the stones one by one. The sum of the
new salary? distances they cover is 39 meters. To what
A. Rs. 17,000 B. Rs. 20,000 distance (in m) can he throw the unbroken
C. Rs. 25,500 D. Rs. 38,000 stone?
A. 3 B. 4 C. 6 D. 2
7. If 0.75 : x :: 5 : 8, then x is equal to:
A. 1.12 B. 1.2 C. 1.25 D. 1.30 16. What is the value of (2a+2b)/ (2a-b), given that
b ≠ 0 and (a2-ab+2b2)/ (a2+ab+4b2) = 1/3?
8. The fourth proportional to 5, 8, and 15 is: A. 4 B. 4/3 C. ¾ D. 3
A. 18 B. 24 C. 19 D. 20
17. 17. Mr Shrimant inherits 2505 gold coins and
9. In a bag, there are coins of 25 p, 10 p and 5 p in divides them among his three sons, Bharat,
the ratio of 1 : 2 : 3. If there is Rs. 30 in all, how Parat and Marat in a certain ratio out of the total
many 5 p coins are there? coins received by each of them, Bharat sells 30
A. 50 B. 100 C. 150 D. 200 coins, Parat donates his 30 coins and marat
losses 25 coins now, the ratio of gold coins with
10. 60 liters of diesel is required to travel 600 km them is 46:41:34, respectively how many coins
using a 800 cc engine. If the volume of diesel did Parat receive from his father?
required to cover a distance varies directly as A. 705 B. 950 C. 800 D. 850
the capacity of the engine, then how many liters
of diesel is required to travel 800 km using a 18. The respective ratios of Sita’s, Riya’s and
1200 cc engine? Kunal’s monthly income is 84:76:89. If Riya’s
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______________________________RATIO PROPORTION VARIATION________________________________
annual income is Rs 456000, then what is the 24. In a town with a population of 4500, the ratio of
sum of Sita’s and Kunal’s annual incomes? (In males to females is 3 : 2 and the ratio of females
some cases monthly income and in some cases to children is 4 : x. In the election of
annual income is used) Nagar-Palika, two candidates are there, children
A. Rs 195000 B. Rs 983500 aren’t allowed to vote and 10% of the eligible
C. Rs 113000 D. Rs 1038000 population didn’t cast their vote. If the winning
candidate won by 400 votes and the runner up
19. Nandita scores 80% marks in five subjects candidate got 1150 votes, then find the value of
together i.e. Hindi, Science, Mathematics, ‘x’.
English and Sanskrit, Where the maximum [Note: Total population of village = Male +
marks of each subject were 105. How many Female + Children]
marks did Nandita score in science ,if she A. 2 B. 5 C. 3 D. 6
scored 89 marks in Hindi, 92 marks in Sanskrit,
98 marks in Mathematics and 81 marks in 25. The expenses on food, rent and electricity of a
English? family are in the ratio 5 : 15 : 3. The expenditure
A. 60 B. 75 C. 65 D. 70 on food, rent and electricity is increased by 20%,
10% and 30% respectively. The total expenses
20. In a certain examination, the number of those of the family thus increased by how much
who passed was 4 times the number of those percent.
who failed. If there had been 35 fewer A. 12 (18/23)% B. 11 (17/21)%
candidates and 9 more had failed, the ratio of C. 14 (18/23)% D. 24 (11/21)%
passed and failed candidates would have been
2:1, then the total number of candidates was
A. 135 B. 155 C. 145 D. 150
21. In the income statement of Asha and Ravenna,
the ratio of their income in the year 2017 was 5 :
4. The ratio of Asha’s income in the year 2018 to
that in 2017 is 3 : 5 and the ratio of Ravenna’s
income in the year 2018 to that in 2017 is 3 : 2.
If Rs. 10242 is the sum of the income of Asha
and Ravenna in the year 2018, then find the
income of Ravenna in the year 2017?
A. Rs. 1138 B. Rs. 2776
C. Rs. 2420 D. Rs. 4552
22. The average score in an examination taken by
52 students of a class is 85. If the scores of the
best 5 performers are not considered, the
average score of the remaining students falls by
2. If none of the first five highest scorers is not
below 80 and if each of the 5 top scorers had
distinct integral scores, find the maximum
possible score of the topper.
A. 108 B. 109 C. 177 D. 193
23. Five years ago, the age of the father was 5
times the age of the son. Ten years hence, the
age of father will become 2.5 times of the age of
son. At present, what is the ratio of the sum of
their ages and the difference of their ages?
A. 5:3 B. 16:9 C. 3:5 D. 9:16
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